Question

If the nth term of a sequence is given by 2*3 rays to power n-2, find the first three term of the sequence

Answer 1

To find the first three terms of the sequence, we substitute n = 1, 2, and 3 into the given formula.

When n = 1:
2*3^(1-2) = 2*3^(-1) = 2*(1/3) = 2/3

When n = 2:
2*3^(2-2) = 2*3^0 = 2*1 = 2

When n = 3:
2*3^(3-2) = 2*3^1 = 2*3 = 6

Therefore, the first three terms of the sequence are 2/3, 2, and 6.